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Finding the Fourth Proportional to 6,909.50, 10,365.90 and 2,292.50

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Solution

The fourth proportional to 6,909.50, 10,365.90 and 2,292.50 is: 3,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.50 : 10,365.90 = 2,292.50 : x
  2. Step 2: Convert to fraction form
    6,909.50/10,365.90 = 2,292.50/x
  3. Step 3: Cross multiply
    6,909.50x = 10,365.90 × 2,292.50
  4. Step 4: Simplify right side
    6,909.50x = 23,763,825.75
  5. Step 5: Solve for x
    x = 23,763,825.75/6,909.50
  6. Step 6: Final answer
    x = 3,439.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.